Solve pi*10^-4-1.25*pi*10^-2*4/pi*10^-3

$$\frac{ \pi \times { 10 }^{ -4 } -1.25 \times \pi \times { 10 }^{ -2 } \times 4 }{ \pi \times { 10 }^{ -3 } }$$

Evaluate

$$-49.9$$

Solution Steps

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{\pi \times \frac{1}{10000}-1.25\pi \times 10^{-2}\times 4}{\pi \times 10^{-3}}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{\pi \times \frac{1}{10000}-1.25\pi \times \frac{1}{100}\times 4}{\pi \times 10^{-3}}$$

Multiply 1.25 and \frac{1}{100} to get \frac{1}{80}.

$$\frac{\pi \times \frac{1}{10000}-\frac{1}{80}\pi \times 4}{\pi \times 10^{-3}}$$

Multiply \frac{1}{80} and 4 to get \frac{1}{20}.

$$\frac{\pi \times \frac{1}{10000}-\frac{1}{20}\pi }{\pi \times 10^{-3}}$$

Combine \pi \times \frac{1}{10000} and -\frac{1}{20}\pi to get -\frac{499}{10000}\pi .

$$\frac{-\frac{499}{10000}\pi }{\pi \times 10^{-3}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{-\frac{499}{10000}\pi }{\pi \times \frac{1}{1000}}$$

Cancel out \pi in both numerator and denominator.

$$\frac{-\frac{499}{10000}}{\frac{1}{1000}}$$

Divide -\frac{499}{10000} by \frac{1}{1000} by multiplying -\frac{499}{10000} by the reciprocal of \frac{1}{1000}.

$$-\frac{499}{10000}\times 1000$$

Multiply -\frac{499}{10000} and 1000 to get -\frac{499}{10}.

$$-\frac{499}{10}$$

Factor

$$-49.9$$